{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 课后练习"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Python实现数据各维度的描述性分析。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import pandas as pd\n",
    "from scipy import stats   \n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a的平均数: 16.714285714285715\n",
      "a的中位数: 12.0\n"
     ]
    }
   ],
   "source": [
    "a = [1,2,4,5,3,12,12,23,43,52,11,22,22,22]\n",
    "\n",
    "a_mean = np.mean(a)  # 均值\n",
    "a_med = np.median(a)  # 中位数\n",
    "print(\"a的平均数:\", a_mean)\n",
    "print(\"a的中位数:\", a_med)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a的众数: 22\n",
      "a的众数: 0    22\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "a_m1 = stats.mode(a)[0][0]\n",
    "print(\"a的众数:\", a_m1)\n",
    "\n",
    "#将一维数组转成Pandas的Series，然后调用Pandas的mode()方法\n",
    "ser = pd.Series(a)\n",
    "a_m2 = ser.mode()\n",
    "print(\"a的众数:\", a_m2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a的方差: 220.4897959183673\n",
      "a的方差: 14.848898811641464\n",
      "a的变异系数: 0.8883956553973524\n"
     ]
    }
   ],
   "source": [
    "a_var = np.var(a)  # 方差\n",
    "a_std = np.std(a)  # 标准差\n",
    "a_cv =  a_std / a_mean  # 变异系数\n",
    "\n",
    "print(\"a的方差:\", a_var)\n",
    "print(\"a的方差:\", a_std)\n",
    "print(\"a的变异系数:\", a_cv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
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   "source": [
    "# 生成标准正态分布的随机数（10000个）\n",
    "data = list(np.random.randn(10000))\n",
    "\n",
    "plt.hist(data,1000,facecolor='g',alpha=0.5)\n",
    "plt.show()"
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   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
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     "name": "stdout",
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     "text": [
      "偏度系数 -0.026788088068668153\n",
      "峰度系数 0.010493290957660939\n"
     ]
    }
   ],
   "source": [
    "s = pd.Series(data) # 将数组转化为序列\n",
    "\n",
    "print('偏度系数', s.skew())\n",
    "print('峰度系数', s.kurt())"
   ]
  },
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   "cell_type": "code",
   "execution_count": null,
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   "outputs": [],
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